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I have only run across this word twice in my life and it was used to describe something that was deeply desired by a person, yet for them it was impossible to ever attain. Therefore, the word in question described what this thing was to them. For example:

"Given the problems with Dave's past, a healthy relationship with his dad is ___________. "

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  • Although possibly too much in this case, look into "quixotic". "A quixotic quest. A quixotic crusade. After everything that has occurred, building a healthy relationship with his dad is probably nothing more than a quixotic dream." – Michael Benjamin May 7 '18 at 19:17
  • @Edwin Ashworth - here OP is asking for a rare word, the supposed “duplicate” question doesn’t answer this trait of the question. Please read carefully before close-voting. – user 66974 May 7 '18 at 19:37
  • @user3850720 I virtually always do. The duplicate subsumes this question; I specifically checked that 'chimera' was suggested there. Please don't trivialise the site. – Edwin Ashworth May 7 '18 at 19:42
  • @EdwinAshworth - chimera was just one suggestion, other interesting ones might have come up, had the question not been improperly put on hold. – user 66974 May 7 '18 at 19:43
  • @user3850720 Then they could / should have also come up at the duplicate. – Edwin Ashworth May 7 '18 at 22:02
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Chimera:

a hope or dream that is extremely unlikely ever to come true: Is the ideal of banishing hunger throughout the world just a chimera?

(Cambridge Dictionary)

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